137582815261 has 36 divisors (see below), whose sum is σ = 151088743260. Its totient is φ = 125056579200.

The previous prime is 137582815241. The next prime is 137582815289. The reversal of 137582815261 is 162518285731.

It can be written as a sum of positive squares in 2 ways, for example, as 33441071161 + 104141744100 = 182869^2 + 322710^2 .

It is not a de Polignac number, because 137582815261 - 2¹³ = 137582807069 is a prime.

It is a Duffinian number.

Its product of digits (806400) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137582815241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396492090 + ... + 396492436.

It is an arithmetic number, because the mean of its divisors is an integer number (4196909535).

Almost surely, 2^137582815261 is an apocalyptic number.

It is an amenable number.

137582815261 is a deficient number, since it is larger than the sum of its proper divisors (13505927999).

137582815261 is an frugal number, since it uses more digits than its factorization.

137582815261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 448 counting only the distinct ones).

The product of its digits is 806400, while the sum is 49.

The spelling of 137582815261 in words is "one hundred thirty-seven billion, five hundred eighty-two million, eight hundred fifteen thousand, two hundred sixty-one".